A characterization of solution sets of LTI differential equations
(2009) 2009 Joint 48th IEEE Conference on Decision and Control (CDC) and 28th Chinese Control Conference (CCC 2009) — Location: Shanghai, China (15.December.2009)
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- Abstract
- We prove that a controllable set of smooth trajectories is the solution set of a constant coefficient linear differential equation if and only if it is linear, time invariant and closed. This characterization does not involve derivatives in its formulation. It solves a problem opened by Willems.
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Delvenne, J.-C., & Ivanov, T. (2009). A characterization of solution sets of LTI differential equations. 2009 Joint 48th IEEE Conference on Decision and Control (CDC) and 28th Chinese Control Conference (CCC 2009), p. 4288-4291. https://doi.org/10.1109/CDC.2009.5399519